Introduction to Probability and Statistics 15th Edition Mendenhall Solutions Manual Visit to download the full and correct content document: https://testbankdeal.com/download/introduction-to-probability-and-statistics-15th-editi on-mendenhall-solutions-manual/ Introduction to Probability and Statistics 15th Edition Mendenhall Solutions Manual Complete Solutions Manual to Accompany © Cengage Learning. All rights reserved. No distribution allowed without express authorization. Introduction to Probability and Statistics 15th Edition William Mendenhall, III 1925-2009 Robert J. Beaver University of California, Riverside, Emeritus Barbara M. Beaver University of California, Riverside, Emerita Prepared by Barbara M. Beaver Australia • Brazil • Mexico • Singapore • United Kingdom • United States Visit TestBankDeal.com to get complete for all chapters ISBN-13: 978-1-337-55829-7 ISBN-10: 1-337-55829-X © 2020 Cengage Learning ALL RIGHTS RESERVED. 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Contents Chapter 1: Describing Data with Graphs………………………………………………………...1 Chapter 2: Describing Data with Numerical Measures………………………………………....30 Chapter 3: Describing Bivariate Data……………………………………………………..........68 Chapter 4: Probability…………………………………………………………………..............93 Chapter 5: Discrete Probability Distribution…………………………………………………..121 Chapter 6: The Normal Probability Distribution……………………………………………...156 Chapter 7: Sampling Distributions…………………………………………………………….186 Chapter 8: Large-Sample Estimation………………………………………………………….210 Chapter 9: Large-Sample Test of Hypotheses………………………………………………...240 Chapter 10: Inference from Small Samples…………………………………………………...271 Chapter 11: The Analysis of Variance………………………………………………………...324 Chapter 12: Linear Regression and Correlation……………………………………………….364 Chapter 13: Multiple Regression Analysis……………………………………………………415 Chapter 14: The Analysis of Categorical Data..........................................................................439 Chapter 15: Nonparametric Statistics………………………………………………………….469 Another random document with no related content on Scribd: 70. I greet thee my internal spirit! that floatest in the shape of a swan (hansa) in the lake of the mind (manas) of every individual, and residest in the cavity of the lotiform cranium (Brahmárandhra), with thy outstretched wings of consciousness and standing. 71. All hail to thee, O thou full and perfect spirit! that art the undivided and immortal soul, and appearest in thy several parts of the mind and senses; like the full-moon containing all its digits in its entire self. 72. Obeisance to the sun of my intellect! which is always in its ascendency and dispels the darkness of my heart; which pervades everywhere, and is yet invisible or dimly seen by us. 73. I bow to my intellectual light, which is an oilless lamp of benign effulgence, and burns in full blaze within me and without its wick. It is the enlightener of nature, and quite still in its nature. 74. Whenever my mind is heated by cupid’s fire, I cool it by the coolness of my cold and callous intellect coolness; as they temper the red-hot iron with a cold and hard hammer. 75. I am gaining my victory over all things, by killing my egoism by the Great Ego; and by making my senses and mind to destroy themselves. 76. I bow to thee, O thou all subduing faith, that dost crush our ignorant doubt by thy wisdom; dispellest the unrealities by thy knowledge of the reality, and removest our cravings by thy contentedness. 77. I subsist solely as the transparent spirit, by killing my mind by the great Mind, and removing my egoism by the sole Ego, and by driving the unrealities by the true Reality. 78. I rely my body (i.e. I depend for my bodily existence), on the moving principle of my soul only; without the consciousness of my self existence, my egoism, my mind and all its efforts and actions. 79. I have obtained at last of its own accord, and by the infinite grace of the Lord of all, the highest blessing of cold heartedness and insouciance in myself. 80. I am now freed from the heat of my feverish passions, by subsidence of the demon of my ignorance; from disappearance of the goblin of my egoism. 81. I know not where the falcon of my false egoism has fled, from the cage of my body, by breaking its string of desires to which it was fast bound in its feet. 82. I do not know whither the eagle of my egotism is flown, from its nest in the arbor of my body, after blowing away its thick ignorance as dust. 83. Ah! where is my egoism fled, with its body besmeared with the dust and dirt of worldliness, and battered by the rocks of its insatiable desires? It is bitten by the deadly dragons of fears and dangers, and pierced in its hearts by repeated disappointments and despair. 84. O! I wonder to think what I had been all this time, when I was bound fast by my egoism in the strong chain of my personality. 85. I think myself a new born being to-day, and to have become highminded also, by being removed from the thick cloud of egoism, which had shrouded me all this time. 86. I have seen and known, and obtained this treasure of my soul, as it is presented to my understanding, by the verbal testimonies of the sástras, and by the light of inspiration in my hour of meditation (samádhi). 87. My mind is set at rest as extinguished fire, by its being released from the cares of the world; as also from all other thoughts and desires and the error of egoism. I am now set free from my affections and passions, and all delights of the world, as also my craving after them. 88. I have passed over the impassable ocean of dangers and difficulties, and the intolerable evils of transmigration; by the disappearance of my internal darkness, and sight of the One Great God in my intellect. CHAPTER XXXVI. HYMN TO THE SOUL. Argument. Prahláda getting the light of his internal soul, delights himself as one in the company of his sweet-heart. P RAHLÁDA continued:—I thank thee, O lord and great spirit! that art beyond all things, and art found in myself by my good fortune. 2. I have no other friend, O my Lord, in the three worlds except thee; that dost vouchsafe to embrace and look upon me, when I pray unto thee. 3. It is thou that preservest and destroyest all, and givest all things to every body; and it is thou, that makest us move and work, and praise thy holy name. Now art thou found and seen by me, and now thou goest away from me. 4. Thou fillest all being in the world with thy essence; thou art present in all places, but where art thou now fled and gone from me? 5. Great is the distance between us, even as the distance of the places of our birth, it is my good fortune of friend! that has brought thee near me today, and presented thee to my sight (so fleeting is spiritual vision). 6. I hail thee, thou felicitous one! that art my maker and preserver also; I thank thee that art the stalk of this fruit of this world, and that art the eternal and pure soul of all. 7. I thank the holder of the lotus and discus, and thee also that bearest the crescent half moon on thy forehead—great Siva. I thank the lord of gods—Indra, and Brahmá also, that is born of the lotus. 8. It is a verbal usage that makes a distinction betwixt thee and ourselves (i.e. between the Divine and animal souls); but this is a false impression as that of the difference between waves and their elemental water. 9. Thou showest thyself in the shapes of the endless varieties of beings, and existence and extinction are the two states of thyself from all eternity. 10. I thank thee that art the creator and beholder of all, and the manifester of innumerable forms. I thank thee that art the whole nature thyself. 11. I have undergone many tribulations in the long course of past lives, and it was by thy will that I became bereft of my strength, and was burnt away at last. 12. I have beheld the luminous worlds, and observed many visible and invisible things; but thou art not to be found in them. So I have gained nothing (from my observations). 13. All things composed of earth, stone and wood, are formations of water (the form of Vishnu), there is nothing here, that is permanent, O god, beside thyself. Thou being obtained there is nothing else to desire. 14. I thank thee lord! that art obtained, seen and known by me this day; and that shalt be so preserved by me, as never to be obliterated (from my mind). 15. Thy bright form which is interwoven by the rays of light, is visible to us by inversion of the sight of the pupils of our eyes, into the inmost recesses of our heart. 16. As the feeling of heat and cold is perceived by touch, and as the fragrance of the flower is felt in the oil with which it is mixed; so I feel thy presence by thy coming in contact with my heart. 17. As the sound of music enters into the heart through the ears, and makes the heart strings to thrill, and the hairs of the body to stand at an end; so is thy presence perceived in our hearts also. 18. As the objects of taste are felt by the tip of the tongue, which conveys their relish to the mind; so is thy presence felt by my heart, when thou touchest it with thy love. 19. How can one slight to look and lay hold on his inner soul which shoots through every sense of his body; when he takes up a sweet scenting flower, perceptible by the sense of smelling only, and finally decorating his outer person with it. 20. How can the supreme spirit, which is well known to us by means of the teachings of the Vedas, Vedánta, Sidhántas and the Puránas, as also by the Logic of schools and the hymns of the Vedas, be any way forgotten by us? 21. These things which are pleasant to the bodily senses, do not gladden my heart, when it is filled by thy translucent presence. 22. It is by thy effulgent light, that the sun shines so bright; as it is by thy benign lustre also, that the moon dispenses her cooling beams. 23. Thou hast made these bulky rocks, and upheld the heavenly bodies; thou hast supported the stable earth, and lifted the spacious firmament. 24. Fortunately thou hast become myself, and I have become one with thyself, I am identic with thee and thou with me, and there is no difference between us. 25. I thank the great spirit, that is expressed by turns by the words myself and thyself; and mine and thine. 26. I thank the infinite God, that dwells in my unegoistic mind; and I thank the formless Lord, that dwells in my tranquil soul. 27. Thou dwellest, O Lord! in my formless, tranquil, transparent and conscious soul, as thou residest in thy own spirit, which is unbounded by the limitations of time and space. 28. It is by thee that the mind has its action, and the senses have their sensations; the body has all its powers, and the vital and respirative breaths have their inflations and afflations. 29. The organs of the body are led by the rope of desire to their several actions, and being united with flesh, blood and bones, are driven like the wheels of a car by the charioteer of the mind. 30. I am the consciousness of my body, and am neither the body itself nor my egoism of it; let it therefore rise or fall, it is of no advantage or disadvantage to me. 31. I was born in the same time with my ego (as a personal, corporeal and sensible being); and it was long afterwards that I had the knowledge of my soul; I had my insensibility last of all, in the manner of the world approaching to its dissolution at the end. 32. Long have I travelled in the long-some journey of the world; I am weary with fatigue and now rest in quiet, like the cooling fire of the last conflagration. (i.e. Of the doomsday). 33. I thank the Lord who is all (to pan), and yet without all and everything; and thee my soul! that art myself likewise. I thank thee above those sástras and preceptors, that teach the ego and tu (i.e. the subjective and objective). 34. I hail the all witnessing power of that providential spirit, that has made these ample and endless provisions for others, without touching or enjoying them itself. 35. Thou art the spirit that dwellest in all bodies in the form of the fragrance of flowers, and in the manner of breath in bellows; and as the oil resides in the sesamum seeds. 36. How wonderful is this magic scene of thine, that thou appearest in everything, and preservest and destroyest it at last, without having any personality of thy own. 37. Thou makest my soul rejoice at one time as a lighted lamp, by manifesting all things before it; and thou makest it joyous also, when it is extinguished as a lamp, after its enjoyment of the visibles. 38. This universal frame is situated in an atom of thyself, as the big banian tree is contained in the embryo of a grain of its fig. 39. Thou art seen, O lord, in a thousand forms that glide under our sight; in the same manner as the various forms of elephants and horses, cars and other things are seen in the passing clouds on the sky. 40. Thou art both the existence and absence of all things, that are either present or lost to our view; yet thou art quite apart from all worldly existences, and art aloof from all entities and non-entities in the world. 41. Forsake, O my soul! the pride and anger of thy mind, and all the foulness and wiliness of thy heart; because the highminded never fall into the faults and errors of the common people. 42. Think over and over on the actions of thy past life, and the long series of thy wicked acts; and then with a sigh blush to think upon what thou hadst been before, and cease to do such acts anymore. 43. The bustle of thy life is past, and thy bad days have gone away; when thou wast wrapt in the net of thy tangled thoughts on all sides. 44. Now thou art a monarch in the city of thy body, and hast the desire of thy mind presented before thee; thou art set beyond the reach of pleasure and pain, and art as free as the air which nobody can grasp. 45. As thou hast now subdued the untractable horses of thy bodily organs, and the indomitable elephant of thy mind; and as thou hast crushed thy enemy of worldly enjoyment, so dost thou now reign as the sole sovereign, over the empire of thy body and mind. 46. Thou art now become as the glorious sun, to shine within and without us day by day; and dost traverse the unlimited fields of air, by thy continued rising and setting at every place in our meditation of thee. 47. Thou Lord! art ever asleep, and risest also by thy own power; and then thou lookest on the luxuriant world, as a lover looks on his beloved. 48. These luxuries like honey, are brought from great distances by the bees of the bodily organs; and the spirit tastes the sweets, by looking upon them through the windows of its eyes. (The spirit enjoys the sweets of offerings, by means of its internal senses). 49. The seat of the intellectual world in the cranium is always dark, and a path is made in it by the breathings of inspiration and respiration (pránápána), which lead the soul to the sight of Brahmá (lit.: to the city of Brahmá. This is done by the practice of pránáyáma). 50. Thou Lord! art the odor of this flower-like body of thine, and thou art the nectarious juice of thy moonlike frame, the moisture of this bodily tree, and thou art the coolness of its cold humours: phlegm and cough. 51. Thou art the juice, milk and butter, that support the body, and thou being gone (O soul!), the body is dried up and become as full to feed the fire. 52. Thou art the flavour of fruits, and the light of all luminous bodies; it is thou that perceivest and knowest all things, and givest light to the visual organ of sight. 53. Thou art the vibration of the wind, and the force of our elephantine minds; and so art thou the acuteness of the flame of our intelligence. 54. It is thou that givest us the gift of speech, and dost stop our breath, and makest it break forth again on occasions. (Speech—Vách—vox in the feminine gender, is made Váchá by affix á according to Bhaguri). 55. All these various series of worldly productions, bear the same relation to thee, as the varieties of jewelleries (such as the bracelets and wristlets); are related to the gold (of which they are made). 56. Thou art called by the words I, thou, he &c., and it is thyself that callest thyself such as it pleaseth thee. (The impersonal God is represented in different persons). 57. Thou art seen in the appearances of all the productions of nature, as we see the forms of men, horses and elephants in the clouds, when they glide softly on the wings of the gentle winds. (But as all these forms are unreal, so God has no form in reality). 58. Thou dost invariably show thyself in all thy creatures on earth, the blazing fire presents the figures of horses and elephants in its lambent flames. (Neither has God nor fire any form at all). 59. Thou art the unbroken thread, by which the orbs of worlds are strung together as a rosary of pearls; and thou art the field that growest the harvest of creation, by the moisture of thy intellect. (The divine spirit stretches through all, and contains the pith of creation). 60. Things that were inexistent and unproduced before creation, have come to light from their hidden state of reality by thy agency, as the flavour of meat-food, becomes evident by the process of cooking.[18] 61. The beauties of existences are imperceptible without the soul; as the graces of a beauty are not apparent to one devoid of his eyesight. 62. All substances are nothing whatever without thy inherence in them; as the reflection of the face in the mirror (or a picture in painting), is to no purpose without the real face or figure of the person. 63. Without thee the body is a lifeless mass, like a block of wood or stone; and it is imperceptible without the soul, as the shadow of a tree in absence of the sun. 64. The succession of pain and pleasure, ceases to be felt by one who feels thee within himself; as the shades of darkness, the twinkling of stars, and the coldness of frost, cease to exist in the bright sunlight. 65. It is by a glance of thy eye, that the feelings of pain and pleasure rise in the mind; as it is by the beams of the rising sun, that the sky is tinged with its variegated hues. 66. Living beings perish in a moment, at the privation of thy presence; as the burning lamp is extinguished to darkness, at the extinction of its light. (Light and life are synonymous terms, as death and darkness are homonyms). 67. As the gloom of darkness is conspicuous at the want of light; but coming in contact with light, it vanishes from view.[19] 68. So the appearances of pain and pleasure, present themselves before the mind, during thy absence from it; but they vanish into nothing at the advance of thy light into it. 69. The temporary feelings of pleasure and pain, can find no room in the fulness of heavenly felicity (in the entranced mind); just as a minute moment of time, is of no account in the abyss of eternity. 70. The thoughts of pleasure and pain, are as the short-lived fancies of the fairy land or castles in air; they appear by turns at thy pleasure, but they disappear altogether no sooner thy form is seen in the mind. 71. It is by thy light in our visual organs, that things appear to sight at the moment of our waking, as they are reproduced into being; and it is by thy light also poured into our minds, that they are seen in our dream, as if they are all asleep in death. 72. What good can we derive from these false and transient appearances in nature? No one can string together the seeming lotuses that are formed by the foaming froth of the waves. 73. No substantial good can accrue to us from transitory mortal things; as no body can string together the transient flashes of lightning into a necklace. (This is in refutation of the usefulness of temporary objects maintained by the Saugatas). 74. Should the rationalist take the false ideas of pain and pleasure for sober realities; what distinction then can there be between them and the irrational realists (Buddhists). 75. Should you, like the Nominalist, take everything which bears a name for a real entity; I will tell you no more than that, you are too fond to give to imaginary things a fictitious name at your own will. (Gloss:— according to the ideas and desires of one’s own mind, or giving a name to airy nothing). 76. But the soul is indivisible and without its desire and egoism, and whether it is a real substance or not we know nothing of, yet its agency is acknowledged on all hands in our bodily actions. 77. All joy be thine! that art boundless in thy spiritual body, and ever disposed to tranquility; that art beyond the knowledge of the Vedas, and art yet the theme of all the sástras. 78. All joy to thee! that art both born and unborn with the body, and art decaying undecayed in thy nature; that art the unsubstantial substance of all qualities, and art known and unknown to every body. 79. I exult now and am calm again, I move and am still afterwards; I am victorious and live to win my liberation by thy grace; therefore I hail thee that art myself. 80. When thou art situated in me, my soul is freed from all troubles and feelings and passions; and is placed in perfect rest. There is no more any fear of danger or difficulty or of life and death, nor any craving for prosperity, when I am absorbed in everlasting bliss with thee. CHAPTER XXXVII. DISORDER AND DISQUIET OF THE ASURA REALM. Argument. As Prahláda was absorbed in Meditation, his dominions were infested by robbers for want of a Ruler, and the reign of terror. Vasishtha said:—Prahláda the defeater of inimical hosts, was sitting in the said manner in divine meditation, and was absorbed in his entranced rapture, and undisturbed anaesthesia or insensibility for a long time. 2. The soul reposing in its original state of unalterable ecstatis, made his body as immovable as a rock in painting or a figure carved on a stone (in bas relief). 3. In this manner a long time passed upon his hybernation, when he was sitting in his house in a posture as unshaken as the firm Meru is fixed upon the earth. 4. He was tried to be roused in vain, by the great Asuras of his palace; because his deadened mind remained deaf to their calls like a solid rock, and was as impassive as a perched grain to the showers of rain. 5. Thus he remained intent upon his God, with his fixed and firm gaze for thousands of years; and continued as unmoved, as the carved sun upon a stone (or sundial). 6. Having thus attained to the state of supreme bliss, the sight of infelicity disappeared from his view, as it is unknown to the supremely felicitous being. (So the Sruti: In Him there is all joy and no woe can appear before Him). 7. During this time the whole circuit of his realm, was overspread by anarchy and oppression; as it reigns over the poor fishes.[20] 8. For after Hiranyakasipu was killed and his son had betaken himself to asceticism, there was no body left to rule over the realms of the Asura race. 9. And as Prahláda was not to be roused from his slumber, by the solicitations of the Daitya chiefs, or the cries of his oppressed people:— 10. They—the enemies of the gods, were as sorry not to have their graceful lord among them; as the bees are aggrieved for want of the blooming lotus at night (when it is hid under its leafy branches). 11. They found him as absorbed in his meditation, as when the world is drowned in deep sleep, after departure of the sun below the horizon. 12. The sorrowful Daityas departed from his presence, and went away wherever they liked; they roved about at random, as they do in an ungoverned state. 13. The infernal regions became in time the seat of anarchy and oppression; and the good and honest dealings bade adieu to it all at once. 14. The houses of the weak were robbed by the strong, and the restraints of laws were set at naught; the people oppressed one another and robbed the women of their robes. 15. There were crying and wailing of the people on all sides, and the houses were pulled down in the city; the houses and gardens were robbed and spoiled, and outlawry and rapacity spread all over the land. 16. The Asuras were in deep sorrow, and their families were starving without food or fruits; there were disturbance and riot rising every where, and the face of the sky was darkened on all sides. 17. They were derided by the younglings of the gods, and invaded by vile robbers and envious animals; the houses were robbed of their properties, and were laid waste and void. 18. The Asura realm became a scene of horror, by lawless fighting for the wives and properties of others; and the wailings of those that were robbed of their wealth and wives, it made the scene seem as the reign of the dark Kali age, when the atrocious marauders are let loose to spread devastation all over the earth. CHAPTER XXXVIII. SCRUTINY INTO THE NATURE OF GOD. Argument. Hari’s care for preservation of the order of the world, and his advice to Prahláda. V ASISHTHA continued:—Now Hari who slept on his couch of the snake, in his watery mansion of the Milky ocean, and whose delight it was to preserve the order of all the groups of worlds;— 2. Looked into the course of world in his own mind, after he rose from his sleep at the end of the rainy season for achieving the objects of the gods. (Vishnu rises after the rains on the eleventh day of moon उ ानैकादशी ।). 3. He surveyed at a glance of his thought the state of the triple world, composed of the heaven, the earth and the regions below; and then directed his attention to the affairs of the infernal regions of the demons. 4. He beheld Prahláda sitting there in his intense hypnotic meditation, and then looked into the increasing prosperity of Indra’s palace. 5. Sitting as he was on his serpentine couch in the Milky Ocean, with his arms holding the conch-shell, the discus, and the club and lotus in his four hands;— 6. He thought in his brilliant mind and in his posture of padmásana, about the states of the three worlds, as the fluttering bee inspects into the state of the lotus. 7. He saw Prahláda immerged in his hypnotism, and the infernal regions left without a leader; and beheld the world was about to be devoid of the Daitya race. 8. This want of the demons, thought he, was likely to cool the military ardour of the Devas; as the want of clouds serves to dry up the waters on earth. 9. Liberation which is obtained by privation of dualism and egoism, brings a man to that state of asceticism; as the want of moisture tends to dry up and deaden the promising plant. 10. The Gods being at rest and contented in themselves, there will be no need of sacrifices and offerings to please and appease them; and this will eventually lead to the extinction of the gods (for want of their being fed with the butter and fat of the sacrifices). 11. The religious and sacrificial rites, being at an end among mankind, will bring on (owing to their impiety), the destruction of human race, which will cause the desolation of the earth (by wild beasts). 13. What is the good of my providence, if were I to allow this plenteous earth to go to ruin by my neglect? (It would amount to Vishnu’s violation of duty to preserve the world). 14. What can I have to do in this empty void of the world, after the extinction of these created beings into nothing, than to charge my active nature to a state of cold inactivity, and lose myself into the anaesthesia of final liberation or insensibility. 15. I see no good in the untimely dissolution of the order of the world, and would therefore have the Daityas live to its end. 16. It is owing to the struggles of the demons, that the deities are worshipped with sacrifices and other religious rites for their preservation of the earth; therefore they are necessary for the continuation of these practices in it. 17. I shall have therefore to visit the nether world, and restore it to its right order; and appoint the lord of the demons to the observance of his proper duties; in the manner of the season of spring returning to fructify the trees. 18. If I raise any other Daitya to the chieftainship of the demons, and leave Prahláda in the act of his meditation; it is sure that he will disturb the Devas, instead of bearing obedience to them. Because no demon can get rid of his demoniac nature like Prahláda. 19. Prahláda is to live to old age in his sacred person, and to reside therein to the end of the kalpa age, with this very body of his (without undergoing the casualties of death and transmigration). 20. So it is determined by Destiny, the divine and overruling goddess; that Prahláda will continue to reign to the end of the kalpa, in this very body of his. 21. I must therefore go, and awaken the Daitya chief from his trance, as the roaring cloud rouses the sleepy peacocks, on the tops of hills and banks of rivers. 22. Let that self ridden (swayam-mukta) and somnolent (samádhistha) prince, reign unconcerned (amanaskára) over the Daitya race; as the unconscious pearl reflects the colours of its adjacent objects. 23. By this means both the gods and demigods, will be preserved on the face of the earth; and their mutual contention for superiority, will furnish occasion for the display of my prowess. 24. Though the creation and destruction of the world, be indifferent to me; yet its continuation in the primordial order, is of much concern to others, if not to my insusceptible self. 25. Whatever is alike in its existence and inexistence, is the same also in both its gain and loss (to the indifferent soul). Any effort for having any thing is mere foolishness; since addition and subtraction presuppose one another. (Gain is the supplying of want, and want is the privation of gain). 26. I shall therefore hasten to the infernal region, and awaken the Daitya prince to the sense of his duty; and then will I resume my calmness, and not play about on the stage of the world like the ignorant. (The sapient God is silent; but foolish souls are turbulent). 27. I will proceed to the city of the Asuras amidst their tumultuous violence, and rouse the Daitya prince as the sunshine raises the drooping lotus; and I shall bring the people to order and union, as the rainy season collects the fleeting clouds on the summits of mountains. CHAPTER XXXIX. ADMONITIONS OF HARI TO PRAHLÁDA. Argument. Hari enters into the Daitya city, blows his conch-shell, and directs Prahláda to reign and rule over his realm. V ASISHTHA continued:—Thinking thus within himself, Hari started from his abode in the Milky Ocean with his companions, and moved like the immovable Mandara mountain with all its accompaniments. 2. He entered the city of Prahláda resembling the metropolis of Indra, by a subterranean passage lying under the waters of the deep. (This passage, says the gloss, leads to the sweta dwípa or white island of Albion—Britain; but literally it means the underground passage of waters). 3. He found here the prince of the Asuras, sitting under a golden dome in his hypnotic trance, like Brahmá sitting in his meditative mood in a cavern of the Sumeru mountain. (This shows Brahmá the progenitor of mankind or of the Aryan Brahmanic race, to have been a mountaineer of the Altai or N. polar ranges, called Sumeru contra Kumeru—the S. pole). 4. There the Daityas being tinged in their bodies, by the bright rays of Vishnu’s person, fled far away from him, like a flock of owls from the bright beams of the rising sun. (The Daityas are night rovers or nisa charas, and cannot maintain their ground at sun rise). 5. Hari then being accompanied by two or three Daitya chiefs entered the apartment of Prahláda, as the bright moon enters the pavilion of the sky at eve, in company with two or three stars beside her. (Moon in Sanskrit is the male consort of the stars, and called Tará-pati). 6. There seated on his eagle and fanned with the flapper of Lakshmí, and armed with his weapons, and beset by the saints hymning his praise: — 7. He said, O great soul! rise from thy trance; and then blew his pánchajanya shell, which resounded to the vault of heaven. 8. The loud peal of the Conch, blown by the breath of Vishnu, roared at once like the clouds of the sky, and the waves of the great deluge with redoubled force. 9. Terrified at the sound, the Daityas fell flat and fainting on the ground; as when the flocks of swans and geese, are stunned at the thundering noise of clouds. 10. But the party of Vaishnavas, rejoiced at the sound without the least fear; and they flushed with joy like the Kurchi flowers, blooming at the sound of the clouds. (Kurchi buds are said to blossom in the rains). 11. The lord of the Dánavas, was slowly roused from his sleep; in the manner of the kadamba flowers, opening their florets by degrees at the intervals of rain. 12. It was by an act of the excretion of his breathing, that he brought down his vital breath, which was confined in the vertical membrane of the cranium; in the manner that the stream of Ganges gushes out from the high-hill, and mixes and flows with the whole body of waters into the ocean. (So it is with our inspiration and respiration, which carry up and down our vital breath, to and from the sensory of the brain). 13. In a moment the vital breath circulated through the whole body of Prahláda; as the solar beams spread over the whole world soon after they emanate from the solar disk at sun rise. 14. The vital breath, having then entered into the cells of the nine organs of sense; his mind became susceptible of sensations, received through the organs of the body like reflexions in a mirror. 15. The intellect desiring to know the objects, and relying in the reflexions of the senses, takes the name of the mind; as the reflexion of the face in the mirror, refracts itself again to the visual organ. 16. The mind having thus opened or developed itself, his eyelids were about to open of themselves; like the petals of the blue lotus, opening by degrees in the morning. 17. The breathings then, by conveying the sensations to the body, through the veins and arteries, give it the power of motion; as the current breeze moves the lotuses. 18. The same vital breath, strengthened the powers of his mind in a short time; as the billows of a river, become more powerful when it is full of water. 19. At last his eyes being opened, his body shone forth with vivacity, by its mental and vital powers; as the lake blushes with blooming lotuses at the sun’s rising above the horizon. 20. At this instant, the lord bade him awake instantly at his word; and he rose as the peacock is awakened, at the roar of a cloud. 21. Finding his eyes shining with lustre, and his mind strong with its past remembrance; the lord of the three worlds, spoke to him in the manner, as he had formerly addressed the lotus-born Brahmá himself. 22. O holy youth! remember your large (dominions), and bring to your mind your youthful form and figure; then think and ponder, why you causelessly transform yourself to this torpid state. 23. You who have no good to desire nor any evil to shun, and look on want and plenty in the same light; you must know that what is destined by God, is all for your good. 25. You shall have to live here, in the living liberated state of your mind, and in full possession of your dominions, for a kalpa period; and shall have to pass your time with this body of yours, and without any anxiety or earthly trouble whatever. 26. The body being decayed by this time, you shall have still to abide with your greatness of soul to the end; till the body being broken down like an earthen vessel, the vital life like the contained air of the pot, come to mix with the common air of vacuum. 27. Your body which is liberated in its life time, is to endure in its purity to the end of the kalpa, and will witness generations passing before it without any diminution of itself. 28. The end of the kalpa or dooms day, is yet too far when the twelve suns will shine together; the rocks will melt away, and the world will be burnt down to ashes. Why then do you waste away your body even now? 29. Now the winds are not raging with fury, nor is the world grey with age and covered with ashes over it. The marks on the foreheads of the immortals are still uneffaced, why then waste your body before its time? 30. The lightnings of the deluging clouds, do not now flash nor fall down like asoka flowers, why then do you vainly waste your precious body so prematurely? 31. The skies do not pour out their showers of rain-water on earth, so as to overflood the mountain tops, nor do they burst out in fire and burn them down to ashes; why then do you waste away your body in vain? 32. The old world is not yet dissolved into vapour, nor fused to fumes and smoke; neither are the deities all extinct, after leaving Brahmá, Vishnu and Siva to survive them; why then do you waste yourself in vain? (If they are all alive, you should learn to live also). 33. The earth on all sides is yet so submerged under the water, as to present the sight of the high mountains only on it, why then waste you away your body in vain (before the last doom and deluge of the earth?). 34. The sun yet does not dart his fiery rays, with such fury in the sky, as to split the mountains with hideous cracks; nor do the diluvian clouds rattle and crackle in the midway sky; (to presage the last day, why then in vain waste you your body, that is not foreboded to die?). 35. I wander everywhere on my vehicle of the eagle, and take care of all animal beings lest they die before their time, and do not therefore like your negligence of yourself. 36. Here are we and there the hills, these are other beings and that is yourself; this is the earth and that the sky, all these are separate entities and must last of themselves; why then should you neglect your body, and do not live like the living? 37. The man whose mind is deluded by gross ignorance, and one who is the mark of afflictions, is verily led to hail his death. (So the Smriti says:—Very sick and corpulent men have their release in death). 38. Death is welcome to him, who is too weak and too poor and grossly ignorant; and who is always troubled by such and similar thoughts in his mind. (The disturbed mind is death and hell in itself). 39. Death is welcomed by him, whose mind is enchained in the trap of greedy desires and thrills between its hopes and fears; and who is hurried and carried about in quest of greed, and is always restless within himself. 40. He whose heart is parched by the thirst of greed, and whose better thoughts are choked by it, as the sprouts of corn are destroyed by worms; is the person that welcomes his death at all times. 41. He who lets the creeping passions of his heart, grow as big as palm trees, to overshadow the forest of his mind, and bear the fruits of continued pain and pleasure, is the man who hails his death at all times. 42. He whose mind is festered by the weeds of cares, growing as rank as his hair on the body; and who is subject to the incessant evils of life, is the man that welcomes death for his relief. 43. He whose body is burning under the fire of diseases, and whose limbs are slackened by age and weakness, is the man to whom death is a remedy, and who resorts to its aid for relief. 44. He who is tormented by his ardent desires and raging anger, as by the poison of snake biting, is as a withered tree, and invites instant death for his release. 45. It is the soul’s quitting the body that is called death; and this is unknown to the spiritualist, who is quite indifferent about the entity and nonentity of the body. 46. Life is a blessing to him, whose thoughts do not rove beyond the confines of himself; and to the wise man also who knows and investigates into the true nature of things. 47. Life is a blessing to him also, who is not given to his egotism, and whose understanding is not darkened by untruth, and who preserves his evenness in all conditions of life. 48. His life is a blessing to him, who has the inward satisfaction and coolness of his understanding, and is free from passions and enmity; and looks on the world as a mere witness, and having his concern with nothing. 49. He is blest in his life, who has the knowledge of whatever is desirable or detestable to him, and lives aloof from both; with all his thoughts and feelings confined within himself; (literally, within his own heart and mind). 50. His life is blest, who views all gross things in the light of nothing, and whose heart and mind are absorbed in his silent and conscious soul. (i.e. Who witnesses and watches the emotions and motions of his heart and mind). 51. Blessed is his life, who having his sight represses it from viewing the affairs of the world, as if they are entirely unworthy of him.